Dynamic Characters of Stiffened Composite Conoidal Shell Roofs with Cutouts: Design Aids and Selection Guidelines

Table 8

Values of “𝑟” for +45/−45/+45/−45 conoidal shells.

Edge condition	𝑦	𝑥
		0.2	0.3	0.4	0.5	0.6	0.7	0.8
CCCC	0.2	72.823	78.236	82.758	83.828	81.568	76.803	71.923
	0.3	74.884	80.770	86.548	88.893	86.815	81.249	75.551
	0.4	76.701	83.522	91.226	95.703	93.788	87.111	80.040
	0.5	77.112	84.768	94.005	100	97.403	89.411	81.517
	0.6	76.805	83.652	91.325	95.680	93.763	87.160	80.108
	0.7	75.008	80.906	86.626	88.855	86.795	81.298	75.617
	0.8	72.647	77.908	82.266	83.759	81.579	76.633	71.755
CSCC	0.2	81.077	91.056	97.803	91.446	86.032	83.235	78.655
	0.3	83.525	93.130	102.170	99.590	94.922	89.192	82.211
	0.4	84.074	93.824	101.696	103.807	101.498	94.596	86.412
	0.5	83.003	90.427	97.733	100	99.474	96.299	87.547
	0.6	81.276	87.968	94.605	96.334	95.817	92.081	84.895
	0.7	79.646	86.287	92.866	94.104	92.136	86.701	80.220
	0.8	78.630	85.619	92.366	92.585	89.172	83.321	77.139
CCSC	0.2	70.077	77.727	85.937	83.800	79.229	74.361	69.326
	0.3	71.072	78.703	87.768	88.368	83.336	77.766	72.302
	0.4	71.984	80.017	89.895	95.290	89.759	82.905	76.264
	0.5	72.468	81.214	91.396	100	93.470	85.277	77.810
	0.6	71.937	79.893	89.673	95.311	89.871	83.044	76.355
	0.7	71.086	78.669	87.710	88.508	83.481	77.891	72.371
	0.8	70.006	77.569	85.788	83.973	79.340	74.231	69.123
CCCS	0.2	78.059	85.085	91.568	92.620	90.166	84.849	78.646
	0.3	78.792	85.576	91.983	93.758	92.489	87.571	81.169
	0.4	80.502	87.433	93.909	95.951	95.851	92.337	85.557
	0.5	82.841	90.481	97.657	100	99.876	96.861	88.986
	0.6	85.401	94.488	102.330	104.306	102.177	96.765	88.819
	0.7	85.313	94.803	103.136	100.952	96.520	91.365	84.617
	0.8	81.938	91.745	98.552	93.014	87.371	84.653	80.319
CSSC	0.2	80.251	90.347	102.001	98.147	92.559	90.103	85.813
	0.3	81.688	90.911	103.714	105.159	101.546	97.766	88.928
	0.4	81.340	89.735	99.850	103.865	102.503	98.783	91.054
	0.5	81.528	89.780	96.778	100	99.635	97.691	92.230
	0.6	81.914	89.289	95.251	97.877	98.401	97.867	92.317
	0.7	81.213	88.071	94.478	97.330	98.425	94.980	87.252
	0.8	80.276	87.186	94.253	97.479	97.826	90.750	83.637
CCSS	0.2	79.271	85.734	92.215	96.177	97.750	92.440	85.311
	0.3	80.024	86.471	92.663	96.147	97.781	95.350	88.242
	0.4	81.065	87.896	94.083	97.107	98.178	97.531	92.578
	0.5	82.087	90.360	97.023	100	100.117	98.606	94.251
	0.6	82.521	90.825	101.803	104.549	103.368	100.351	93.755
	0.7	82.941	91.821	103.719	105.727	102.486	99.509	91.399
	0.8	80.346	90.089	100.955	99.195	93.707	91.345	87.507
CSCS	0.2	78.163	86.022	92.995	92.450	88.854	85.808	80.401
	0.3	79.871	86.979	93.768	95.528	94.670	90.304	83.255
	0.4	81.380	88.475	95.483	97.758	98.510	95.335	87.720
	0.5	83.417	91.209	98.288	100	101.457	99.522	90.636
	0.6	83.285	90.593	97.462	99.337	99.875	96.908	89.038
	0.7	81.807	89.179	96.019	97.206	95.825	91.360	84.354
	0.8	79.311	87.551	94.710	93.330	88.907	85.864	80.620
SCSC	0.2	85.127	94.329	95.136	88.093	85.184	82.426	78.466
	0.3	86.016	95.544	99.993	92.933	89.052	85.588	80.885
	0.4	86.853	97.202	105.501	97.941	92.882	88.930	83.293
	0.5	87.280	98.396	107.888	100	94.353	90.351	84.256
	0.6	86.654	96.782	104.675	97.456	92.684	88.887	83.209
	0.7	85.821	95.213	99.433	92.519	89.003	85.631	80.778
	0.8	84.798	93.899	94.867	87.932	85.323	82.385	78.165
CSSS	0.2	84.944	92.468	99.487	102.083	102.496	102.211	95.697
	0.3	87.001	94.415	100.612	101.921	103.359	105.519	99.083
	0.4	87.482	95.487	101.492	100.522	100.612	102.250	100.822
	0.5	87.931	97.254	102.629	100	99.420	100.620	99.680
	0.6	88.552	96.975	102.732	101.723	101.674	102.885	100.813
	0.7	88.608	96.436	102.875	103.969	105.120	106.825	99.475
	0.8	85.793	93.995	101.843	104.209	103.551	102.657	95.378
SSSC	0.2	90.301	101.510	103.781	96.224	91.653	89.271	87.137
	0.3	91.100	102.460	108.098	102.693	98.673	95.766	90.177
	0.4	90.295	101.404	106.028	102.757	98.698	95.253	90.038
	0.5	89.523	99.110	102.720	100	96.670	94.017	90.034
	0.6	88.793	96.857	100.664	98.472	96.351	94.739	91.563
	0.7	88.172	95.669	99.702	97.818	96.797	96.041	90.722
	0.8	87.395	94.930	98.931	96.571	95.997	95.427	88.365
SSCS	0.2	88.795	97.759	99.936	94.981	92.168	90.694	87.596
	0.3	90.150	98.974	101.928	98.665	97.216	96.201	89.404
	0.4	91.309	100.310	103.409	99.753	97.841	97.300	92.291
	0.5	92.288	101.662	104.357	100	97.487	96.678	93.643
	0.6	92.516	101.539	104.514	100.363	98.033	97.305	92.917
	0.7	91.859	100.918	103.929	99.899	98.067	97.444	90.291
	0.8	89.927	99.404	101.683	95.907	92.707	91.701	87.789
SSSS	0.2	88.805	93.985	97.537	99.443	99.34104	97.458	93.660
	0.3	90.116	95.853	98.238	99.300	99.55631	98.869	96.461
	0.4	89.799	95.332	98.006	97.770	96.847	96.012	94.848
	0.5	89.665	94.925	97.577	100	95.462	94.360	93.375
	0.6	90.247	95.512	98.509	98.722	97.792	96.672	95.013
	0.7	90.943	96.728	99.725	101.290	101.508	100.518	97.141
	0.8	88.912	94.653	99.280	101.663	101.056	99.261	95.529
CS	0.2	124.611	120.401	110.994	104.153	102.644	103.581	108.893
	0.3	120.487	117.591	108.489	101.849	100.596	101.659	107.324
	0.4	117.053	116.177	107.584	100.426	99.256	100.691	105.789
	0.5	115.794	115.786	107.429	100	98.788	100.425	105.330
	0.6	118.003	116.844	107.793	100.623	99.239	100.341	105.584
	0.7	122.490	118.779	109.260	102.384	100.470	100.978	106.534
	0.8	122.076	118.091	109.558	102.712	101.196	101.869	107.386

𝑎/𝑏=1, 𝑎/ℎ=100, 𝑎^′/𝑏^′=1, 𝑎/ℎ_ℎ=5, ℎ_𝑙/ℎ_ℎ=0.25, 𝐸₁₁/𝐸₂₂=25, 𝐺₂₃=0.2𝐸₂₂, 𝐺₁₃=𝐺₁₂=0.5𝐸₂₂, and 𝜈₁₂=𝜈₂₁=0.25.